3976

3976 is the natural number that follows 3975 and precedes 3977. It is an even composite number. Its prime factorization is 2^3 × 7 × 71, so it is divisible by 2, 4, 7, 8, 14, 71, 142, 284, and 3976. Equivalently, 3976 = 8 × 497, with 497 = 7 × 71.

In common numeral systems, 3976 is represented as 111110001000 in binary, F88 in hexadecimal, and 7610 in octal. In Roman numerals it is MMMCMLXXVI.

As the prime factorization shows, the sum of all divisors is (2^4−1)/(2−1) × (7^2−1)/(7−1) × (71^2−1)/(71−1) = 15 × 8 × 72 = 8640, so the sum of proper divisors is 8640 − 3976 = 4664, making 3976 an abundant number. The sum of its digits is 25, and 3976 is not divisible by 25, so it is not a Harshad number in base 10.

The number is primarily of interest as a representative even, abundant integer with the factorization 2^3 × 7 × 71. It does not have widely noted special properties beyond its standard arithmetic characteristics.